De Jeu, MarcelPinto, Paulo R.2020-11-192020-07De Jeu, M. & Pinto, P.R. 2020, 'The structure of doubly non-commuting isometries', Advances in Mathematics, vol. 368, art. 107149, pp. 1-35.0001-8708 (print)1090-2082 (online)10.1016/j.aim.2020.107149http://hdl.handle.net/2263/77093Please read abstract in the article.en© 2020 Elsevier Inc. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Advances in Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Advances in Mathematics, vol. 368, art. 107149, pp. 1-35., 2020. doi : 10.1016/j.aim.2020.107149.Doubly non-commuting isometriesWold decompositionNon-commutative torusDilation theoremPostprint Article